If x squared equals 3, find the value of x to the power of 4 and x to the power of 10

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

x^2 = 3

Determine the value of x to the power of 4, and x to the power of 10

Solution:

In order to determine the value of x  to the power of 4 and 10, we first determine the value of x in x^2 = 3, we can do this by taking the square root of both sides.

√x^2 =√3

x = 1.73

Now to represent x to the power of 4, it means raising x with 4 or x will have a degree of 4.

x^4 = ?

Since we know that x = 1.73, we can simply substitute the given value of x.

= (1.73)^4 

= 8.96

x to the power of 10

= (1.73)^10

= 240.14